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@Article{MakarievaGNSNBNL:2017:EqMoMo,
               author = "Makarieva, Anastassia M. and Gorshkov, Victor G. and Nefiodov, 
                         Andrei V. and Sheil, Douglas and Nobre, Antonio Donato and 
                         Bunyard, Peter and Nobre, Paulo and Li, Bai-Lian",
          affiliation = "{Petersburg Nuclear Physics Institute} and {Petersburg Nuclear 
                         Physics Institute} and {Petersburg Nuclear Physics Institute} and 
                         {Norwegian University of Life Sciences} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)} and {Lawellen Farm} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {University of 
                         California}",
                title = "The equations of motion for moist atmospheric air",
              journal = "Journal of Geophysical Research: Atmospheres",
                 year = "2017",
               volume = "122",
               number = "14",
                pages = "7300--7307",
                month = "July",
             abstract = "How phase transitions affect the motion of moist atmospheric air 
                         remains controversial. In the early 2000s two distinct 
                         differential equations of motion were proposed. Besides their 
                         contrasting formulations for the acceleration of condensate, the 
                         equations differ concerning the presence/absence of a term equal 
                         to the rate of phase transitions multiplied by the difference in 
                         velocity between condensate and air. This term was interpreted in 
                         the literature as the reactive motion associated with 
                         condensation. The reasoning behind this reactive motion was that 
                         when water vapor condenses and droplets begin to fall the 
                         remaining gas must move upward to conserve momentum. Here we show 
                         that the two contrasting formulations imply distinct assumptions 
                         about how gaseous air and condensate particles interact. We show 
                         that these assumptions cannot be simultaneously applicable to 
                         condensation and evaporation. Reactive motion leading to an upward 
                         acceleration of air during condensation does not exist. The 
                         reactive motion term can be justified for evaporation only; it 
                         describes the downward acceleration of air. We emphasize the 
                         difference between the equations of motion (i.e., equations 
                         constraining velocity) and those constraining momentum (i.e., 
                         equations of motion and continuity combined). We show that owing 
                         to the imprecise nature of the continuity equations, consideration 
                         of total momentum can be misleading and that this led to the 
                         reactive motion controversy. Finally, we provide a revised and 
                         generally applicable equation for the motion of moist air.",
                  doi = "10.1002/2017JD026773",
                  url = "http://dx.doi.org/10.1002/2017JD026773",
                 issn = "2169-8996 and 2169-897X",
             language = "en",
           targetfile = "
                         
                         Makarieva_et_al-2017-Journal_of_Geophysical_Research-_Atmospheres.pdf",
        urlaccessdate = "04 dez. 2020"
}


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